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1021120020 = 223551631289
BaseRepresentation
bin111100110111010…
…000111000010100
32122011102021100000
4330313100320110
54042401320040
6245154051300
734206243204
oct7467207024
92564367300
101021120020
11484439648
12245b79b30
1313372333b
1499888404
155e9a4130
hex3cdd0e14

1021120020 has 144 divisors (see below), whose sum is σ = 3234329280. Its totient is φ = 270418176.

The previous prime is 1021120013. The next prime is 1021120031. The reversal of 1021120020 is 200211201.

1021120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021119984 and 1021120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791536 + ... + 792824.

It is an arithmetic number, because the mean of its divisors is an integer number (22460620).

Almost surely, 21021120020 is an apocalyptic number.

1021120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617164640).

1021120020 is an abundant number, since it is smaller than the sum of its proper divisors (2213209260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021120020 is a wasteful number, since it uses less digits than its factorization.

1021120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021120020 is about 31954.9686277424. The cubic root of 1021120020 is about 1006.9910184341.

Adding to 1021120020 its reverse (200211201), we get a palindrome (1221331221).

The spelling of 1021120020 in words is "one billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 243 270 324 326 405 486 489 540 652 810 815 972 978 1215 1289 1467 1620 1630 1956 2430 2445 2578 2934 3260 3867 4401 4860 4890 5156 5868 6445 7335 7734 8802 9780 11601 12890 13203 14670 15468 17604 19335 22005 23202 25780 26406 29340 34803 38670 39609 44010 46404 52812 58005 66015 69606 77340 79218 88020 104409 116010 132030 139212 158436 174015 198045 208818 210107 232020 264060 313227 348030 396090 417636 420214 522045 626454 630321 696060 792180 840428 1044090 1050535 1252908 1260642 1566135 1890963 2088180 2101070 2521284 3132270 3151605 3781926 4202140 5672889 6264540 6303210 7563852 9454815 11345778 12606420 17018667 18909630 22691556 28364445 34037334 37819260 51056001 56728890 68074668 85093335 102112002 113457780 170186670 204224004 255280005 340373340 510560010 1021120020